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Finding the Fourth Proportional to 538.09, 805.61 and 354.93

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Solution

The fourth proportional to 538.09, 805.61 and 354.93 is: 531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.09 : 805.61 = 354.93 : x
  2. Step 2: Convert to fraction form
    538.09/805.61 = 354.93/x
  3. Step 3: Cross multiply
    538.09x = 805.61 × 354.93
  4. Step 4: Simplify right side
    538.09x = 285,929.35
  5. Step 5: Solve for x
    x = 285,929.35/538.09
  6. Step 6: Final answer
    x = 531.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.